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Answers to Odd Questions
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Chapter 1: Section 1.1: 1.) See solutions 3.) See solutions 5.) See solutions 7.) See solutions 9.) a.) ratio, b.) nominal, c.) interval, d.) ordinal Section 1.2: 1.) a.) Cluster sample, b.) Systematic sample, c.) Convenience sample, d.) Simple random sample, e.) Stratified sample 3.) See solutions 5.) See solutions 7.) See solutions Section 1.3: 1.) Experiment 3.) Observation 5.) No, see solutions 7.) No, see solutions 9.) Yes, see solutions 11.) Yes, see solutions 13.) Double blind, see solutions 15.) Blind, see solutions 17.) Prospective, see solutions 19.) Retrospective, see solutions 21.) See solutions Section 1.4: See solutions Chapter 2: See solutions Chapter 3: Section 3.1: 1.) mean = 253.93, median = 268, mode = none 3.) mean = 67.68 km, median = 64 km, mode = 56 and 64 km 5.) a.) mean = $89,370.42, median = $75,311, b.) mean = $79,196.56, median = $74,773, c.) See solutions, d.) See solutions, e.) See solutions 7.) a.) ordinal- median and mode, b.) ratio – all three, c.) interval – all three, d.) nominal – mode 9.) Skewed right, mean higher 11.) 2.71 13.) 76.75 Section 3.2: 1.) mean = 253.93, median = 268, range = 218, variance = 2276.29, st dev = 47.71 3.) a.) mean = 67.68 km, median = 64 km, b.) range = 145 km, c.) variance = 1107.9416 km2, st dev = 33.29 km 5.) mean = $89,370.42, median = $75,311, range = $219,782, variance =2298639399, st dev = $47,944.13 7.) See solutions 9.) x1 ≈ 75.45, s1 ≈11.10 , x2 ≈125.55, s2 ≈ 24.72
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11.) a.) x ≈ 21.24 sec, s ≈14.95 sec , b.) −8.66 sec,51.14 sec( ) , c.) −23.61 sec,66.09 sec( )
13.) x ≈130.98, s ≈ 205.44 , b.) −279.90,541.86( ) , c.) −485.34,747.3( ) 15.) 3.61
17.) 10.35 Section 3.3: Note: Q1, Q3, and IQR may differ slightly due to how technology finds them. 1.) See solutions 3.) See solutions 5.) min = 142, Q1 = 225, med = 268, Q3 = 282, max = 360, IQR = 57, see solutions 7.) min = 32 km, Q1 = 46 km, med = 64 km, Q3 = 77 km, max = 177 km, IQR = 31 km, see solutions 9.) See solutions 11.) See solutions Chapter 4: Section 4.1: 1.) P(blue) = 0.184, P(brow) = 0.142, P(green) = 0.184, P(orange) = 0.208, P(red) = 0.142, P(yellow) = 0.141 3.) P(indigenous person dies) = 0.0058, P(non-indigenous person dies) = 0.0029, see solutions Section 4.2: 1.) a.) P(green or red) = 0.326, b.) P(blue, red, or yellow) = 0.466, c.) P(not brown) = 0.858, d.) P(not green) = 0.816 3.) a.) See solutions, b.) P(2 heads) = 0.375, c.) P(at least 2 heads) = 0.50, d.) P(odd number of heads) = 0.50, e.) P(all heads or all tails) = 0.25, f.) P(two heads or two tails) = 0.75, g.) P(no an odd number of heads) = 0.50 5.) a.) See solutions, b.) P(sum of 3) = 0.056, c.) P(1st die a 4) = 0.167, d.) P(sum of 8) = 0.139, e.) P(sum of 3 or sum of 8) = 0.194, f.) P(sum of 3 or 1st die a 4) = 0.222, g.) P(sum of 8 or 1st die a 4) = 0.278, h.) P(not getting a sum of 8) = 0.861 7.) P(red ball) = 0.625, b.) P(blue ball) = 0.375, c.) 5 to 3, d.) 3 to 5 Section 4.3: 1.) Independent, see solutions 3.) Dependent, see solutions 5.) a.) P(Jack/face card) = 0.333, b.) P(heart/card a 3) = 0.25, c.) P(red card/ace) = 0.50, d.) not independent, see solutions, e.) independent, see solutions 7.) 0.0625 9.) 4.55 ×10−4 11.) a.) P(female) = 0.684, b.) P(1st class) = 0.429, c.) P(female/1st class) = 0.694, d.) P(female and 1st class) = 0.298, e.) P(female or 1st class) = 0.816, f.) No, see solutions, g.) Dependent, see solutions Section 4.4: 1.) 30 meals 3.) 120 shirts 5.) 3024 7.) 252
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9.) 1320 11.) 10 Chapter 5: Section 5.1: 1.) a.) See solutions, b.) See solutions, c.) 4.175 days, d.) 8.414375 days2, e.) 2.901 days, f.) 0.004, g) See solutions, h.) See solutions 3.) -$0.75 Section 5.2: 1.) a.) P(x=5) = 0.0212, b.) P(x=8) = 1.062 ×10−4 , c.) P(x=12) = 1.605 ×10−9 , d.) P x ≤ 4( ) = 0.973 , e.) P x ≥ 8( ) = 1.18 ×10−4 , f.) P x ≤12( ) = 0.99999 3.) a.) P x = 2( ) = 0.0014 , b.) P x = 8( ) = 0.2335 , c.) P x = 7( ) = 0.2668 , d.) P x ≤ 3( ) = 0.0106 , e.) P x ≥ 7( ) = 0.6496 , f.) P x ≤ 4( ) = 0.0473 5.) a.) P x = 8( ) = 0.0784 , b.) P x = 15( ) = 0.0182 , c.) P x = 14( ) = 0.0534 , d.) P x ≤12( ) = 0.8142 , e.) P x ≥10( ) = 0.7324 , f.) P x ≤ 7( ) = 0.0557 7.) a.) See solutions, b.) See solutions, c.) P(x=0) = 0.2059, d.) P x = 7( ) = 2.770 ×10−4 , e.)P x ≥ 2( ) = 0.4510 , f.) P x ≤ 3( ) = 0.9444 , g.) P x ≥ 7( ) = 3.106 ×10−4 , h.) See solutions 9.) a.) See solutions, b.) See solutions, c.) P x = 0( ) = 0.0247 , d.) P x = 20( ) = 3.612 ×10−16 , e.) P x ≥ 3( ) = 0.6812 , f.) P x ≤ 5( ) = 0.8926 , g.) P x ≥10( ) = 6.711×10−4 , h.) See solutions Section 5.3: 1.) a.) See solutions, b.) See solutions, c.) Skewed right, d.) 0.78, e.) 0.6786, f.) 0.8238 3.) a.) See solutions, b.) See solutions, c.) Symmetric, d.) 3.5, e.) 1.75, f.) 1.3229 5.) a.) See solutions, b.) See solutions, c.) See solutions, d.) Skewed right, e.) 2.88, f.) 2.1888, g.) 1.479 7.) a.) See solutions, b.) 7.28, c.) 6.2608, d.) 2.502 Chapter 6: Section 6.1: 1.) a.) See solutions, b.) P 2 < x < 5( ) = 0.3 , c.) P 7 < x <10( ) = 0.3 , d.) P x = 8( ) = 0 Section 6.3: 1.) a.) P z < 2.36( ) = 0.9909 , b.) P z > 0.67( ) = 0.2514 , c.) P 0 < z < 2.11( ) = 0.4826 , d.) P −2.78 < z <1.97( ) = 0.9729 3.) a.) -0.6667, b.) -2.6667, c.) -2, d.) 6.6667 5.) a.) See solutions, b.) P x < 52 cm( ) = 0.7128 , c.) P x > 74 cm( ) = 5.852 ×10−11 , d.) P 40.5 cm < x < 57.5 cm( ) = 0.9729 , e.) See solutions, f.) 53.8 cm 7.) a.) See solutions, b.) P x >110 g( ) = 0.0551c.) P x < 93 g( ) = 0.0097 , d.) P x < 65 g( ) ≈ 0 or 5.57 ×10−19
, e.) See solutions, f.) 110.2 g 9.) a.) See solutions, b.) P x > $80,000( ) = 0.1168 , c.) P x > $80,000( ) = 0.2283 , d.) P $55,000 < x < $72,000( ) = 0.5519 , e.) See solutions, f.) $73,112 Section 6.4:
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1.) Normally distributed 3.) Normally distributed Section 6.5: 1.) a.) See solutions, b.) µx = 14 , σ x = 0.9487 , c.) See solutions, d.) µx = 14 , σ x = 0.5071
3.) a.) See solutions, b.) µx = $67,694 , c.) σ x = $1594.42 , d.) See solutions, e.) P x > $75,000( ) = 2.302 ×10−6 , f.) P x < $60,000( ) = 6.989 ×10−7 , g.) See solutions 5.) a.) See solutions, b.) µx = 49.9 cm , c.) σ x = 0.9657 cm , d.) See solutions, e.) P x < 52 cm( ) = 0.9852 f.) P x > 74 cm( ) ≈ 0 , g.) See solutions 7.) a.) See solutions, b.) P x >100 g( ) = 0.99999 , c.) P x < 93 g( ) ≈ 0 or 8.22 ×10−44 , d.) See solutions Chapter 7: Section 7.1: 1.) Ho : p = 0.11,HA : p > 0.11 3.) Ho :µ = 4.87 metric tons per capita, HA :µ < 4.87 metric tons per capita 5.) See solutions 7.) See solutions Section 7.2: For all hypothesis tests, just the conclusion is given. See solutions for the entire answer. 1.) Reject Ho. 3.) Reject Ho. 5.) Reject Ho. Section 7.3: For all hypothesis tests, just the conclusion is given. See solutions for the entire answer. 1.) Fail to reject Ho. 3.) Fail to reject Ho. 5.) Fail to reject Ho. 7.) Reject Ho. Chapter 8: Section 8.1: 1.) Narrower 3.) Narrower 5.) See solutions 7.) See solutions Section 8.2: For all confidence intervals, just the interval using technology is given. See solution for the entire answer. 1.) 0.1641< p < 0.1745 3.) 0.4458 < p < 0.4739 5.) 0.5740 < p < 0.6452 Section 8.3: For all confidence intervals, just the interval using technology is given. See solution for the entire answer.
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1.) 1.7944 < µ < 5.1152 metric tons per capita 3.) 0.44872 < µ < 0.60562 mg/kg 5.) 87.2423< µ <113.795 beats/min 7.) 88.8747% < µ < 93.0253% Chapter 9: Answers to all problems are given. Section 9.1: For all hypothesis tests, just the conclusion is given. For all confidence intervals, just the interval using technology (Software R) is given. See solution for the entire answer. 1.) Reject Ho 2.) 0.0941< p1 − p2 < 0.0996 3.) Reject Ho 4.) −0.0332 < p1 − p2 < −0.0282 5.) Fail to reject Ho 6.) −0.01547 < p1 − p2 < −0.0001 7.) Reject Ho 8.) 0.0840 < p1 − p2 < 0.1696 Section 9.2: For all hypothesis tests, just the conclusion is given. For all confidence intervals, just the interval using technology is given. See solution for the entire answer. 1.) Reject Ho 2.) 5.39857 mg/dL < µd < 41.1729 mg/dL 3.) Fail to reject Ho 4.) −$3.24216 < µd < $8.13327 5.) Reject Ho 6.) 1154.09 < µd < 2517.51 7.) Reject Ho 8.) 1.499 < µd < 3.001 9.) Fail to reject Ho 10.) −10.9096% < µd < 0.2596% 11.) Reject Ho 12.) −62.0438 beats/min < µd < −37.1141 beats/min Section 9.3: For all hypothesis tests, just the conclusion is given. For all confidence intervals, just the interval using technology is given. See solution for the entire answer. 1.) Reject Ho 2.) $65443.80 < µ1 − µ2 < $13340.80 3.) Fail to reject Ho 4.) −51564.6 mm3 < µ1 − µ2 < 75656.6 mm3 5.) Reject Ho 6.) 23.2818 km < µ1 − µ2 <103.67 km 7.) Reject Ho 8.) 4.3641< µ1 − µ2 < 37.5276
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9.) Fail to reject Ho 10.) −10.9726 s < µ1 − µ2 <11.3059 s 11.) Reject Ho 12.) $6544.98 < µ1 − µ2 < $13339.60 13.) Reject Ho 14.) 4.8267 < µ1 − µ2 < 37.0649 15.) Fail to reject Ho 16.) −10.9713 s < µ1 − µ2 <11.3047 s Chapter 10: Section 10.1: For regression, only the equation is given. See solutions for the entire answer. 1.) y = 1.719x + 93.709 3.) y = −4.706x + 84.873 5.) y = 5.859x − 230.942 7.) y = 4.0133x − 228.3313 9.) y = 0.12182x +1.08608 Section 10.2: Only the correlation coefficient and coefficient of determination are given. See solutions for the entire answer. 1.) r = 0.9578, r2 = 0.7357 3.) r = -0.9313, r2 = 0.8674 5.) r = 0.6605 r2 = 0.4362 7.) r = 0.8871, r2 = 0.7869 9.) r = 0.7036, r2 = 0.4951 11.) No, see solutions. 13.) No, see solutions. Section 10.3: For hypothesis test just the conclusion is given. See solutions for entire answer. 1.) a.) Reject Ho, b.) se ≈ 4.559 , c.) 151.3161 cm < y <187.3859 cm 3.) a.) Reject Ho, b.) se ≈ 3.204 , c.) 62.945 years < y < 81.391 years 5.) a.) Reject Ho, b.) se ≈15.33 , c.) 176.02 inches < y < 240.92 inches 7.) a.) Reject Ho, b.) se ≈ 48.58 , c.) 348.46 mg < y < 559.38 mg 9.) a.) Reject Ho, b.) se ≈ 0.6838 , c.)1.613 hundred thousand < y < 5.432 hundred thousand Chapter 11: Section 11.1: For all hypothesis tests, just the conclusion is given. See solutions for the entire answer. 1.) Reject Ho 3.) Reject Ho 5.) Reject Ho 7.) Reject Ho Section 11.2: For all hypothesis tests, just the conclusion is given. See solutions for the entire answer.
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1.) Reject Ho 3.) Reject Ho 5.) Reject Ho Section 11.3: For all hypothesis tests, just the conclusion is given. See solutions for the entire answer. 1.) Reject Ho 3.) Reject Ho 5.) Fail to reject Ho
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